3 papers
math.OC2025
Adaptive Riemannian ADMM for Nonsmooth Optimization: Optimal Complexity without Smoothing
Kangkang Deng, Jiachen Jin, Jiang Hu +1
We study the problem of minimizing the sum of a smooth function and a nonsmooth convex regularizer over a compact Riemannian submanifold embedded in Euclidean space. By introducing…
math.OC2024
Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization
Kangkang Deng, Jiang Hu
This paper studies decentralized optimization over a compact submanifold within a communication network of nodes, where each node possesses a smooth non-convex local cost funct…
math.OC2024
Improving the communication in decentralized manifold optimization through single-step consensus and compression
Jiang Hu, Kangkang Deng
We are concerned with decentralized optimization over a compact submanifold, where the loss functions of local datasets are defined by their respective local datasets. A key challe…